(1 point) In a survey of 253 people, the following data were obtained relating g

Question

(1 point) In a survey of 253 people, the following data were obtained relating gender to color-blindness: Color-Blind (C) Not Color- Blind C' Total 164 89 253 Male (M) Female (F 65 85 79 24 103 Total 150 A person is randomly selected. What is the probability that the person is: a) Male? b) Male and Color-blind? c) Male given that the person is Color-blind? d) Color-blind given that the person is Male? e) Female given that the person is not Color-blind? f) Are the events Male and Color blind independent? Enter yes or no.

Explanation / Answer

a)
P(M) = 164/253 = 0.6482

b)
P(M and C) = 85/253 = 0.336

c)
P(C) = 150/253 = 0.5929
P(M|C) = P(M and C)/P(C) = 0.336/0.5929 = 0.5667

d)
P(C|M) = P(M and C)/P(M) = 0.336/0.6482 = 0.5183

e)
P(F|C') = P(F and C')/P(C') = 24/103 = 0.233

f)
No

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